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Finding the Fourth Proportional to 1,549.28, 2,323.62 and 575.18

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Solution

The fourth proportional to 1,549.28, 2,323.62 and 575.18 is: 862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.28 : 2,323.62 = 575.18 : x
  2. Step 2: Convert to fraction form
    1,549.28/2,323.62 = 575.18/x
  3. Step 3: Cross multiply
    1,549.28x = 2,323.62 × 575.18
  4. Step 4: Simplify right side
    1,549.28x = 1,336,499.75
  5. Step 5: Solve for x
    x = 1,336,499.75/1,549.28
  6. Step 6: Final answer
    x = 862.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.